As you probably know, MySQL is a data base management system, a DBMS, that is included with, well, pretty much every Linux distribution. MySQL is "there," but it's not usually initialized so you can use it.
What you need to do is log in as root and open a terminal window (so you can type some commands); note that you
must be root to do this.
Code:
log in as root
< first you must initialize the DBMS with this command >
prompt: mysql_install_db --user=mysql
< when that completes, you need to make it secure >
prompt: mysql_secure_installation
mysql_secure_installation will prompt you with default values for "locking-down" your MySQL installation.
You do not indicate what distribution you're running (that Microsoft avatar is a little scary here) so the next step is going to take a little effort on your part -- once MySQL is initialized (above), it must be started running -- it runs as a daemon process, that is, it starts up and just sort of sits there waiting for somebody to do something with it. You can start it manually whenever you want to use it (you must do that as root or by using sudo) or you can have it start up at system boot.
Manually starting MySQL is done by
Code:
log in as root or use sudo
< start the MySQL daemon >
prompt: mysql_safe &
Automatically starting it at boot time is distribution-dependent and you will need to look at your system documentation (or the distribution web site) for guidance on where and how to do that; it's not complicated, but it differs from distribution to distribution and without knowing what you have, well, it's a crap-shoot to tell you how.
On caveat, here: your daughter is playing games on-line and something wanted access to your data bases (if you had any) might be a indication that maybe she shouldn't be playing games on that particular web site? Just a thought.
Hope this helps some.